After the antibiotic Streptomycin is given to a patient, the population (in million) of Mycobacterium in the body is given by the function f(t) = -0.02(t)^2 + 3, where t is in hours. Find the rate at which the population of the bacteria is changing after 4 hours. Please and thank you (:

Question

amistre64 · Answer

derive the equation and apply t=4

anonymous · Answer

find dP/dt and plug in t = 4

anonymous · Answer

Find the derivative of f(t):

f'(t) =-0.04t
Now plug in 4

f'(4) = -0.04(4)  = -0.16